From the technical side, it is much simpler to consider the stability
of classical cosmological solutions in the presence of fourth-order
terms. The advantage of this simpler case is that the physical
interpretation of the results is relatively explicit. The analysis of
[1]} and after that in [2]}, [3]}, [4]},
was done for the fourth-derivative action (REF ) with
anomaly-induced semiclassical corrections (see, e.g., [5]}
for the review). It turns out that these corrections do not change
the main result. We shall explain this result omitting all technical
details except the basic formulas.
